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Finding the Third Proportional to 64,526.63 and 97,761.94

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Solution

The third proportional to 64,526.63 and 97,761.94 is: 148,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,526.63 : 97,761.94 = 97,761.94 : x
  2. Step 2: Convert to fraction form
    64,526.63/97,761.94 = 97,761.94/x
  3. Step 3: Cross multiply
    64,526.63x = 97,761.94 × 97,761.94
  4. Step 4: Simplify right side
    64,526.63x = 9,557,396,423.75
  5. Step 5: Solve for x
    x = 9,557,396,423.75/64,526.63
  6. Step 6: Final answer
    x = 148,115.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.