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Finding the Third Proportional to 75,298.50 and 110,432.25

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Solution

The third proportional to 75,298.50 and 110,432.25 is: 161,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.50 : 110,432.25 = 110,432.25 : x
  2. Step 2: Convert to fraction form
    75,298.50/110,432.25 = 110,432.25/x
  3. Step 3: Cross multiply
    75,298.50x = 110,432.25 × 110,432.25
  4. Step 4: Simplify right side
    75,298.50x = 12,195,281,840.06
  5. Step 5: Solve for x
    x = 12,195,281,840.06/75,298.50
  6. Step 6: Final answer
    x = 161,959.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.