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Finding the Third Proportional to 61,756 and 98,345

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Solution

The third proportional to 61,756 and 98,345 is: 156,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,756 : 98,345 = 98,345 : x
  2. Step 2: Convert to fraction form
    61,756/98,345 = 98,345/x
  3. Step 3: Cross multiply
    61,756x = 98,345 × 98,345
  4. Step 4: Simplify right side
    61,756x = 9,671,739,025
  5. Step 5: Solve for x
    x = 9,671,739,025/61,756
  6. Step 6: Final answer
    x = 156,612.14

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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.