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Finding the Third Proportional to 65,293.91 and 142,889.70

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Solution

The third proportional to 65,293.91 and 142,889.70 is: 312,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,293.91 : 142,889.70 = 142,889.70 : x
  2. Step 2: Convert to fraction form
    65,293.91/142,889.70 = 142,889.70/x
  3. Step 3: Cross multiply
    65,293.91x = 142,889.70 × 142,889.70
  4. Step 4: Simplify right side
    65,293.91x = 20,417,465,026.50
  5. Step 5: Solve for x
    x = 20,417,465,026.50/65,293.91
  6. Step 6: Final answer
    x = 312,700.91

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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.