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Finding the Third Proportional to 83,302.59 and 119,038.78

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Solution

The third proportional to 83,302.59 and 119,038.78 is: 170,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302.59 : 119,038.78 = 119,038.78 : x
  2. Step 2: Convert to fraction form
    83,302.59/119,038.78 = 119,038.78/x
  3. Step 3: Cross multiply
    83,302.59x = 119,038.78 × 119,038.78
  4. Step 4: Simplify right side
    83,302.59x = 14,170,231,441.49
  5. Step 5: Solve for x
    x = 14,170,231,441.49/83,302.59
  6. Step 6: Final answer
    x = 170,105.52

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.