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Finding the Third Proportional to 62,332 and 85,159

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Solution

The third proportional to 62,332 and 85,159 is: 116,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,332 : 85,159 = 85,159 : x
  2. Step 2: Convert to fraction form
    62,332/85,159 = 85,159/x
  3. Step 3: Cross multiply
    62,332x = 85,159 × 85,159
  4. Step 4: Simplify right side
    62,332x = 7,252,055,281
  5. Step 5: Solve for x
    x = 7,252,055,281/62,332
  6. Step 6: Final answer
    x = 116,345.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.