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Finding the Third Proportional to 61,807 and 132,363

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Solution

The third proportional to 61,807 and 132,363 is: 283,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,807 : 132,363 = 132,363 : x
  2. Step 2: Convert to fraction form
    61,807/132,363 = 132,363/x
  3. Step 3: Cross multiply
    61,807x = 132,363 × 132,363
  4. Step 4: Simplify right side
    61,807x = 17,519,963,769
  5. Step 5: Solve for x
    x = 17,519,963,769/61,807
  6. Step 6: Final answer
    x = 283,462.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.