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Finding the Third Proportional to 64,507.50 and 99,677.50

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Solution

The third proportional to 64,507.50 and 99,677.50 is: 154,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,507.50 : 99,677.50 = 99,677.50 : x
  2. Step 2: Convert to fraction form
    64,507.50/99,677.50 = 99,677.50/x
  3. Step 3: Cross multiply
    64,507.50x = 99,677.50 × 99,677.50
  4. Step 4: Simplify right side
    64,507.50x = 9,935,604,006.25
  5. Step 5: Solve for x
    x = 9,935,604,006.25/64,507.50
  6. Step 6: Final answer
    x = 154,022.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.