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Finding the Third Proportional to 64,516 and 101,382

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Solution

The third proportional to 64,516 and 101,382 is: 159,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,516 : 101,382 = 101,382 : x
  2. Step 2: Convert to fraction form
    64,516/101,382 = 101,382/x
  3. Step 3: Cross multiply
    64,516x = 101,382 × 101,382
  4. Step 4: Simplify right side
    64,516x = 10,278,309,924
  5. Step 5: Solve for x
    x = 10,278,309,924/64,516
  6. Step 6: Final answer
    x = 159,314.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.