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Finding the Third Proportional to 45,484 and 98,365

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Solution

The third proportional to 45,484 and 98,365 is: 212,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,484 : 98,365 = 98,365 : x
  2. Step 2: Convert to fraction form
    45,484/98,365 = 98,365/x
  3. Step 3: Cross multiply
    45,484x = 98,365 × 98,365
  4. Step 4: Simplify right side
    45,484x = 9,675,673,225
  5. Step 5: Solve for x
    x = 9,675,673,225/45,484
  6. Step 6: Final answer
    x = 212,726.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.