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Finding the Third Proportional to 61,076 and 132,594

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Solution

The third proportional to 61,076 and 132,594 is: 287,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,076 : 132,594 = 132,594 : x
  2. Step 2: Convert to fraction form
    61,076/132,594 = 132,594/x
  3. Step 3: Cross multiply
    61,076x = 132,594 × 132,594
  4. Step 4: Simplify right side
    61,076x = 17,581,168,836
  5. Step 5: Solve for x
    x = 17,581,168,836/61,076
  6. Step 6: Final answer
    x = 287,857.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.