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Finding the Third Proportional to 56,464 and 83,136

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Solution

The third proportional to 56,464 and 83,136 is: 122,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,464 : 83,136 = 83,136 : x
  2. Step 2: Convert to fraction form
    56,464/83,136 = 83,136/x
  3. Step 3: Cross multiply
    56,464x = 83,136 × 83,136
  4. Step 4: Simplify right side
    56,464x = 6,911,594,496
  5. Step 5: Solve for x
    x = 6,911,594,496/56,464
  6. Step 6: Final answer
    x = 122,407.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.