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Finding the Third Proportional to 61,465 and 134,053

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Solution

The third proportional to 61,465 and 134,053 is: 292,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,465 : 134,053 = 134,053 : x
  2. Step 2: Convert to fraction form
    61,465/134,053 = 134,053/x
  3. Step 3: Cross multiply
    61,465x = 134,053 × 134,053
  4. Step 4: Simplify right side
    61,465x = 17,970,206,809
  5. Step 5: Solve for x
    x = 17,970,206,809/61,465
  6. Step 6: Final answer
    x = 292,364.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.