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Finding the Third Proportional to 74,952 and 99,776

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Solution

The third proportional to 74,952 and 99,776 is: 132,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,952 : 99,776 = 99,776 : x
  2. Step 2: Convert to fraction form
    74,952/99,776 = 99,776/x
  3. Step 3: Cross multiply
    74,952x = 99,776 × 99,776
  4. Step 4: Simplify right side
    74,952x = 9,955,250,176
  5. Step 5: Solve for x
    x = 9,955,250,176/74,952
  6. Step 6: Final answer
    x = 132,821.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.