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Finding the Third Proportional to 85,377 and 125,297

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Solution

The third proportional to 85,377 and 125,297 is: 183,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,377 : 125,297 = 125,297 : x
  2. Step 2: Convert to fraction form
    85,377/125,297 = 125,297/x
  3. Step 3: Cross multiply
    85,377x = 125,297 × 125,297
  4. Step 4: Simplify right side
    85,377x = 15,699,338,209
  5. Step 5: Solve for x
    x = 15,699,338,209/85,377
  6. Step 6: Final answer
    x = 183,882.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.