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Finding the Third Proportional to 102,287.81 and 155,641.50

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Solution

The third proportional to 102,287.81 and 155,641.50 is: 236,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,287.81 : 155,641.50 = 155,641.50 : x
  2. Step 2: Convert to fraction form
    102,287.81/155,641.50 = 155,641.50/x
  3. Step 3: Cross multiply
    102,287.81x = 155,641.50 × 155,641.50
  4. Step 4: Simplify right side
    102,287.81x = 24,224,276,522.25
  5. Step 5: Solve for x
    x = 24,224,276,522.25/102,287.81
  6. Step 6: Final answer
    x = 236,824.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.