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Finding the Third Proportional to 53,466 and 83,118

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Solution

The third proportional to 53,466 and 83,118 is: 129,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,466 : 83,118 = 83,118 : x
  2. Step 2: Convert to fraction form
    53,466/83,118 = 83,118/x
  3. Step 3: Cross multiply
    53,466x = 83,118 × 83,118
  4. Step 4: Simplify right side
    53,466x = 6,908,601,924
  5. Step 5: Solve for x
    x = 6,908,601,924/53,466
  6. Step 6: Final answer
    x = 129,214.86

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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.