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Finding the Third Proportional to 102,557.81 and 155,206.13

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Solution

The third proportional to 102,557.81 and 155,206.13 is: 234,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,557.81 : 155,206.13 = 155,206.13 : x
  2. Step 2: Convert to fraction form
    102,557.81/155,206.13 = 155,206.13/x
  3. Step 3: Cross multiply
    102,557.81x = 155,206.13 × 155,206.13
  4. Step 4: Simplify right side
    102,557.81x = 24,088,941,237.52
  5. Step 5: Solve for x
    x = 24,088,941,237.52/102,557.81
  6. Step 6: Final answer
    x = 234,881.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.