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Finding the Third Proportional to 61,465.50 and 134,101

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Solution

The third proportional to 61,465.50 and 134,101 is: 292,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,465.50 : 134,101 = 134,101 : x
  2. Step 2: Convert to fraction form
    61,465.50/134,101 = 134,101/x
  3. Step 3: Cross multiply
    61,465.50x = 134,101 × 134,101
  4. Step 4: Simplify right side
    61,465.50x = 17,983,078,201
  5. Step 5: Solve for x
    x = 17,983,078,201/61,465.50
  6. Step 6: Final answer
    x = 292,571.90

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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.