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Finding the Third Proportional to 45,234 and 98,854

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Solution

The third proportional to 45,234 and 98,854 is: 216,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,234 : 98,854 = 98,854 : x
  2. Step 2: Convert to fraction form
    45,234/98,854 = 98,854/x
  3. Step 3: Cross multiply
    45,234x = 98,854 × 98,854
  4. Step 4: Simplify right side
    45,234x = 9,772,113,316
  5. Step 5: Solve for x
    x = 9,772,113,316/45,234
  6. Step 6: Final answer
    x = 216,034.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.