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Finding the Third Proportional to 60,677 and 90,547

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Solution

The third proportional to 60,677 and 90,547 is: 135,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,677 : 90,547 = 90,547 : x
  2. Step 2: Convert to fraction form
    60,677/90,547 = 90,547/x
  3. Step 3: Cross multiply
    60,677x = 90,547 × 90,547
  4. Step 4: Simplify right side
    60,677x = 8,198,759,209
  5. Step 5: Solve for x
    x = 8,198,759,209/60,677
  6. Step 6: Final answer
    x = 135,121.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.