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Finding the Third Proportional to 44,374 and 97,253

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Solution

The third proportional to 44,374 and 97,253 is: 213,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,374 : 97,253 = 97,253 : x
  2. Step 2: Convert to fraction form
    44,374/97,253 = 97,253/x
  3. Step 3: Cross multiply
    44,374x = 97,253 × 97,253
  4. Step 4: Simplify right side
    44,374x = 9,458,146,009
  5. Step 5: Solve for x
    x = 9,458,146,009/44,374
  6. Step 6: Final answer
    x = 213,146.12

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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.