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Finding the Third Proportional to 29,280 and 63,136

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Solution

The third proportional to 29,280 and 63,136 is: 136,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,280 : 63,136 = 63,136 : x
  2. Step 2: Convert to fraction form
    29,280/63,136 = 63,136/x
  3. Step 3: Cross multiply
    29,280x = 63,136 × 63,136
  4. Step 4: Simplify right side
    29,280x = 3,986,154,496
  5. Step 5: Solve for x
    x = 3,986,154,496/29,280
  6. Step 6: Final answer
    x = 136,139.16

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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.