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Finding the Third Proportional to 75,712.13 and 110,281.50

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Solution

The third proportional to 75,712.13 and 110,281.50 is: 160,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712.13 : 110,281.50 = 110,281.50 : x
  2. Step 2: Convert to fraction form
    75,712.13/110,281.50 = 110,281.50/x
  3. Step 3: Cross multiply
    75,712.13x = 110,281.50 × 110,281.50
  4. Step 4: Simplify right side
    75,712.13x = 12,162,009,242.25
  5. Step 5: Solve for x
    x = 12,162,009,242.25/75,712.13
  6. Step 6: Final answer
    x = 160,634.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.