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Finding the Third Proportional to 32,139.56 and 70,508.81

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Solution

The third proportional to 32,139.56 and 70,508.81 is: 154,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,139.56 : 70,508.81 = 70,508.81 : x
  2. Step 2: Convert to fraction form
    32,139.56/70,508.81 = 70,508.81/x
  3. Step 3: Cross multiply
    32,139.56x = 70,508.81 × 70,508.81
  4. Step 4: Simplify right side
    32,139.56x = 4,971,492,640.16
  5. Step 5: Solve for x
    x = 4,971,492,640.16/32,139.56
  6. Step 6: Final answer
    x = 154,684.52

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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.