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Finding the Third Proportional to 61,374 and 132,430

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Solution

The third proportional to 61,374 and 132,430 is: 285,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,374 : 132,430 = 132,430 : x
  2. Step 2: Convert to fraction form
    61,374/132,430 = 132,430/x
  3. Step 3: Cross multiply
    61,374x = 132,430 × 132,430
  4. Step 4: Simplify right side
    61,374x = 17,537,704,900
  5. Step 5: Solve for x
    x = 17,537,704,900/61,374
  6. Step 6: Final answer
    x = 285,751.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.