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Finding the Third Proportional to 99,852.75 and 155,044.13

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Solution

The third proportional to 99,852.75 and 155,044.13 is: 240,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,852.75 : 155,044.13 = 155,044.13 : x
  2. Step 2: Convert to fraction form
    99,852.75/155,044.13 = 155,044.13/x
  3. Step 3: Cross multiply
    99,852.75x = 155,044.13 × 155,044.13
  4. Step 4: Simplify right side
    99,852.75x = 24,038,680,697.02
  5. Step 5: Solve for x
    x = 24,038,680,697.02/99,852.75
  6. Step 6: Final answer
    x = 240,741.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.