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Finding the Third Proportional to 98,754 and 148,986

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Solution

The third proportional to 98,754 and 148,986 is: 224,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,754 : 148,986 = 148,986 : x
  2. Step 2: Convert to fraction form
    98,754/148,986 = 148,986/x
  3. Step 3: Cross multiply
    98,754x = 148,986 × 148,986
  4. Step 4: Simplify right side
    98,754x = 22,196,828,196
  5. Step 5: Solve for x
    x = 22,196,828,196/98,754
  6. Step 6: Final answer
    x = 224,768.90

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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.