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Finding the Third Proportional to 61,758 and 98,348

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Solution

The third proportional to 61,758 and 98,348 is: 156,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,758 : 98,348 = 98,348 : x
  2. Step 2: Convert to fraction form
    61,758/98,348 = 98,348/x
  3. Step 3: Cross multiply
    61,758x = 98,348 × 98,348
  4. Step 4: Simplify right side
    61,758x = 9,672,329,104
  5. Step 5: Solve for x
    x = 9,672,329,104/61,758
  6. Step 6: Final answer
    x = 156,616.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.