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Finding the Third Proportional to 84,478.57 and 114,031.55

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Solution

The third proportional to 84,478.57 and 114,031.55 is: 153,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,478.57 : 114,031.55 = 114,031.55 : x
  2. Step 2: Convert to fraction form
    84,478.57/114,031.55 = 114,031.55/x
  3. Step 3: Cross multiply
    84,478.57x = 114,031.55 × 114,031.55
  4. Step 4: Simplify right side
    84,478.57x = 13,003,193,682.71
  5. Step 5: Solve for x
    x = 13,003,193,682.71/84,478.57
  6. Step 6: Final answer
    x = 153,922.98

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.