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Finding the Third Proportional to 61,688 and 132,136

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Solution

The third proportional to 61,688 and 132,136 is: 283,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,688 : 132,136 = 132,136 : x
  2. Step 2: Convert to fraction form
    61,688/132,136 = 132,136/x
  3. Step 3: Cross multiply
    61,688x = 132,136 × 132,136
  4. Step 4: Simplify right side
    61,688x = 17,459,922,496
  5. Step 5: Solve for x
    x = 17,459,922,496/61,688
  6. Step 6: Final answer
    x = 283,035.96

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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.