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Finding the Third Proportional to 64,860.75 and 97,291.13

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Solution

The third proportional to 64,860.75 and 97,291.13 is: 145,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,860.75 : 97,291.13 = 97,291.13 : x
  2. Step 2: Convert to fraction form
    64,860.75/97,291.13 = 97,291.13/x
  3. Step 3: Cross multiply
    64,860.75x = 97,291.13 × 97,291.13
  4. Step 4: Simplify right side
    64,860.75x = 9,465,563,003.77
  5. Step 5: Solve for x
    x = 9,465,563,003.77/64,860.75
  6. Step 6: Final answer
    x = 145,936.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.