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Finding the Third Proportional to 107,547 and 167,073

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Solution

The third proportional to 107,547 and 167,073 is: 259,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,547 : 167,073 = 167,073 : x
  2. Step 2: Convert to fraction form
    107,547/167,073 = 167,073/x
  3. Step 3: Cross multiply
    107,547x = 167,073 × 167,073
  4. Step 4: Simplify right side
    107,547x = 27,913,387,329
  5. Step 5: Solve for x
    x = 27,913,387,329/107,547
  6. Step 6: Final answer
    x = 259,545.94

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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.