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Finding the Third Proportional to 98,294.50 and 148,254

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Solution

The third proportional to 98,294.50 and 148,254 is: 223,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,294.50 : 148,254 = 148,254 : x
  2. Step 2: Convert to fraction form
    98,294.50/148,254 = 148,254/x
  3. Step 3: Cross multiply
    98,294.50x = 148,254 × 148,254
  4. Step 4: Simplify right side
    98,294.50x = 21,979,248,516
  5. Step 5: Solve for x
    x = 21,979,248,516/98,294.50
  6. Step 6: Final answer
    x = 223,606.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.