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Finding the Third Proportional to 98,428.50 and 145,566

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Solution

The third proportional to 98,428.50 and 145,566 is: 215,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,428.50 : 145,566 = 145,566 : x
  2. Step 2: Convert to fraction form
    98,428.50/145,566 = 145,566/x
  3. Step 3: Cross multiply
    98,428.50x = 145,566 × 145,566
  4. Step 4: Simplify right side
    98,428.50x = 21,189,460,356
  5. Step 5: Solve for x
    x = 21,189,460,356/98,428.50
  6. Step 6: Final answer
    x = 215,277.69

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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.