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Finding the Third Proportional to 95,499 and 139,725

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Solution

The third proportional to 95,499 and 139,725 is: 204,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,499 : 139,725 = 139,725 : x
  2. Step 2: Convert to fraction form
    95,499/139,725 = 139,725/x
  3. Step 3: Cross multiply
    95,499x = 139,725 × 139,725
  4. Step 4: Simplify right side
    95,499x = 19,523,075,625
  5. Step 5: Solve for x
    x = 19,523,075,625/95,499
  6. Step 6: Final answer
    x = 204,432.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.