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Finding the Third Proportional to 77,136 and 116,527

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Solution

The third proportional to 77,136 and 116,527 is: 176,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136 : 116,527 = 116,527 : x
  2. Step 2: Convert to fraction form
    77,136/116,527 = 116,527/x
  3. Step 3: Cross multiply
    77,136x = 116,527 × 116,527
  4. Step 4: Simplify right side
    77,136x = 13,578,541,729
  5. Step 5: Solve for x
    x = 13,578,541,729/77,136
  6. Step 6: Final answer
    x = 176,033.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.