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Finding the Third Proportional to 70,666.50 and 99,037.50

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Solution

The third proportional to 70,666.50 and 99,037.50 is: 138,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,666.50 : 99,037.50 = 99,037.50 : x
  2. Step 2: Convert to fraction form
    70,666.50/99,037.50 = 99,037.50/x
  3. Step 3: Cross multiply
    70,666.50x = 99,037.50 × 99,037.50
  4. Step 4: Simplify right side
    70,666.50x = 9,808,426,406.25
  5. Step 5: Solve for x
    x = 9,808,426,406.25/70,666.50
  6. Step 6: Final answer
    x = 138,798.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.