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Finding the Third Proportional to 64,507.50 and 97,733.25

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Solution

The third proportional to 64,507.50 and 97,733.25 is: 148,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,507.50 : 97,733.25 = 97,733.25 : x
  2. Step 2: Convert to fraction form
    64,507.50/97,733.25 = 97,733.25/x
  3. Step 3: Cross multiply
    64,507.50x = 97,733.25 × 97,733.25
  4. Step 4: Simplify right side
    64,507.50x = 9,551,788,155.56
  5. Step 5: Solve for x
    x = 9,551,788,155.56/64,507.50
  6. Step 6: Final answer
    x = 148,072.52

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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.