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Finding the Third Proportional to 113,524 and 171,862

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Solution

The third proportional to 113,524 and 171,862 is: 260,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,524 : 171,862 = 171,862 : x
  2. Step 2: Convert to fraction form
    113,524/171,862 = 171,862/x
  3. Step 3: Cross multiply
    113,524x = 171,862 × 171,862
  4. Step 4: Simplify right side
    113,524x = 29,536,547,044
  5. Step 5: Solve for x
    x = 29,536,547,044/113,524
  6. Step 6: Final answer
    x = 260,178.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.