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Finding the Third Proportional to 72,136 and 112,908

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Solution

The third proportional to 72,136 and 112,908 is: 176,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,136 : 112,908 = 112,908 : x
  2. Step 2: Convert to fraction form
    72,136/112,908 = 112,908/x
  3. Step 3: Cross multiply
    72,136x = 112,908 × 112,908
  4. Step 4: Simplify right side
    72,136x = 12,748,216,464
  5. Step 5: Solve for x
    x = 12,748,216,464/72,136
  6. Step 6: Final answer
    x = 176,724.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.