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Finding the Third Proportional to 45,306 and 98,154

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Solution

The third proportional to 45,306 and 98,154 is: 212,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,306 : 98,154 = 98,154 : x
  2. Step 2: Convert to fraction form
    45,306/98,154 = 98,154/x
  3. Step 3: Cross multiply
    45,306x = 98,154 × 98,154
  4. Step 4: Simplify right side
    45,306x = 9,634,207,716
  5. Step 5: Solve for x
    x = 9,634,207,716/45,306
  6. Step 6: Final answer
    x = 212,647.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.