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Finding the Third Proportional to 98,262 and 147,492

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Solution

The third proportional to 98,262 and 147,492 is: 221,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,262 : 147,492 = 147,492 : x
  2. Step 2: Convert to fraction form
    98,262/147,492 = 147,492/x
  3. Step 3: Cross multiply
    98,262x = 147,492 × 147,492
  4. Step 4: Simplify right side
    98,262x = 21,753,890,064
  5. Step 5: Solve for x
    x = 21,753,890,064/98,262
  6. Step 6: Final answer
    x = 221,386.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.