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Finding the Third Proportional to 101,540 and 157,862

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Solution

The third proportional to 101,540 and 157,862 is: 245,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,540 : 157,862 = 157,862 : x
  2. Step 2: Convert to fraction form
    101,540/157,862 = 157,862/x
  3. Step 3: Cross multiply
    101,540x = 157,862 × 157,862
  4. Step 4: Simplify right side
    101,540x = 24,920,411,044
  5. Step 5: Solve for x
    x = 24,920,411,044/101,540
  6. Step 6: Final answer
    x = 245,424.57

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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.