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Finding the Third Proportional to 75,022 and 112,776

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Solution

The third proportional to 75,022 and 112,776 is: 169,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,022 : 112,776 = 112,776 : x
  2. Step 2: Convert to fraction form
    75,022/112,776 = 112,776/x
  3. Step 3: Cross multiply
    75,022x = 112,776 × 112,776
  4. Step 4: Simplify right side
    75,022x = 12,718,426,176
  5. Step 5: Solve for x
    x = 12,718,426,176/75,022
  6. Step 6: Final answer
    x = 169,529.29

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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.