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Finding the Third Proportional to 113,288 and 153,301

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Solution

The third proportional to 113,288 and 153,301 is: 207,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,288 : 153,301 = 153,301 : x
  2. Step 2: Convert to fraction form
    113,288/153,301 = 153,301/x
  3. Step 3: Cross multiply
    113,288x = 153,301 × 153,301
  4. Step 4: Simplify right side
    113,288x = 23,501,196,601
  5. Step 5: Solve for x
    x = 23,501,196,601/113,288
  6. Step 6: Final answer
    x = 207,446.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.