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Finding the Third Proportional to 65,458.13 and 95,630.63

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Solution

The third proportional to 65,458.13 and 95,630.63 is: 139,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.13 : 95,630.63 = 95,630.63 : x
  2. Step 2: Convert to fraction form
    65,458.13/95,630.63 = 95,630.63/x
  3. Step 3: Cross multiply
    65,458.13x = 95,630.63 × 95,630.63
  4. Step 4: Simplify right side
    65,458.13x = 9,145,216,437.89
  5. Step 5: Solve for x
    x = 9,145,216,437.89/65,458.13
  6. Step 6: Final answer
    x = 139,710.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.