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Finding the Third Proportional to 61,522 and 130,334

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Solution

The third proportional to 61,522 and 130,334 is: 276,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,522 : 130,334 = 130,334 : x
  2. Step 2: Convert to fraction form
    61,522/130,334 = 130,334/x
  3. Step 3: Cross multiply
    61,522x = 130,334 × 130,334
  4. Step 4: Simplify right side
    61,522x = 16,986,951,556
  5. Step 5: Solve for x
    x = 16,986,951,556/61,522
  6. Step 6: Final answer
    x = 276,111.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.