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Finding the Third Proportional to 71,547.19 and 155,386.13

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Solution

The third proportional to 71,547.19 and 155,386.13 is: 337,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,547.19 : 155,386.13 = 155,386.13 : x
  2. Step 2: Convert to fraction form
    71,547.19/155,386.13 = 155,386.13/x
  3. Step 3: Cross multiply
    71,547.19x = 155,386.13 × 155,386.13
  4. Step 4: Simplify right side
    71,547.19x = 24,144,847,842.52
  5. Step 5: Solve for x
    x = 24,144,847,842.52/71,547.19
  6. Step 6: Final answer
    x = 337,467.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.