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Finding the Third Proportional to 67,047.75 and 99,032.63

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Solution

The third proportional to 67,047.75 and 99,032.63 is: 146,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,047.75 : 99,032.63 = 99,032.63 : x
  2. Step 2: Convert to fraction form
    67,047.75/99,032.63 = 99,032.63/x
  3. Step 3: Cross multiply
    67,047.75x = 99,032.63 × 99,032.63
  4. Step 4: Simplify right side
    67,047.75x = 9,807,460,814.39
  5. Step 5: Solve for x
    x = 9,807,460,814.39/67,047.75
  6. Step 6: Final answer
    x = 146,275.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.