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Finding the Third Proportional to 48,742 and 77,547

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Solution

The third proportional to 48,742 and 77,547 is: 123,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,742 : 77,547 = 77,547 : x
  2. Step 2: Convert to fraction form
    48,742/77,547 = 77,547/x
  3. Step 3: Cross multiply
    48,742x = 77,547 × 77,547
  4. Step 4: Simplify right side
    48,742x = 6,013,537,209
  5. Step 5: Solve for x
    x = 6,013,537,209/48,742
  6. Step 6: Final answer
    x = 123,374.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.