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Finding the Third Proportional to 75,088 and 112,409

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Solution

The third proportional to 75,088 and 112,409 is: 168,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,088 : 112,409 = 112,409 : x
  2. Step 2: Convert to fraction form
    75,088/112,409 = 112,409/x
  3. Step 3: Cross multiply
    75,088x = 112,409 × 112,409
  4. Step 4: Simplify right side
    75,088x = 12,635,783,281
  5. Step 5: Solve for x
    x = 12,635,783,281/75,088
  6. Step 6: Final answer
    x = 168,279.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.