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Finding the Third Proportional to 32,049 and 70,129.50

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Solution

The third proportional to 32,049 and 70,129.50 is: 153,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049 : 70,129.50 = 70,129.50 : x
  2. Step 2: Convert to fraction form
    32,049/70,129.50 = 70,129.50/x
  3. Step 3: Cross multiply
    32,049x = 70,129.50 × 70,129.50
  4. Step 4: Simplify right side
    32,049x = 4,918,146,770.25
  5. Step 5: Solve for x
    x = 4,918,146,770.25/32,049
  6. Step 6: Final answer
    x = 153,457.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.