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Finding the Third Proportional to 29,202 and 61,320

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Solution

The third proportional to 29,202 and 61,320 is: 128,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,202 : 61,320 = 61,320 : x
  2. Step 2: Convert to fraction form
    29,202/61,320 = 61,320/x
  3. Step 3: Cross multiply
    29,202x = 61,320 × 61,320
  4. Step 4: Simplify right side
    29,202x = 3,760,142,400
  5. Step 5: Solve for x
    x = 3,760,142,400/29,202
  6. Step 6: Final answer
    x = 128,763.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.