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Finding the Third Proportional to 70,473 and 109,132.50

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Solution

The third proportional to 70,473 and 109,132.50 is: 168,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,473 : 109,132.50 = 109,132.50 : x
  2. Step 2: Convert to fraction form
    70,473/109,132.50 = 109,132.50/x
  3. Step 3: Cross multiply
    70,473x = 109,132.50 × 109,132.50
  4. Step 4: Simplify right side
    70,473x = 11,909,902,556.25
  5. Step 5: Solve for x
    x = 11,909,902,556.25/70,473
  6. Step 6: Final answer
    x = 168,999.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.