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Finding the Third Proportional to 63,640 and 97,136

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Solution

The third proportional to 63,640 and 97,136 is: 148,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,640 : 97,136 = 97,136 : x
  2. Step 2: Convert to fraction form
    63,640/97,136 = 97,136/x
  3. Step 3: Cross multiply
    63,640x = 97,136 × 97,136
  4. Step 4: Simplify right side
    63,640x = 9,435,402,496
  5. Step 5: Solve for x
    x = 9,435,402,496/63,640
  6. Step 6: Final answer
    x = 148,262.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.