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Finding the Third Proportional to 73,702.13 and 160,894.13

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Solution

The third proportional to 73,702.13 and 160,894.13 is: 351,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.13 : 160,894.13 = 160,894.13 : x
  2. Step 2: Convert to fraction form
    73,702.13/160,894.13 = 160,894.13/x
  3. Step 3: Cross multiply
    73,702.13x = 160,894.13 × 160,894.13
  4. Step 4: Simplify right side
    73,702.13x = 25,886,919,459.52
  5. Step 5: Solve for x
    x = 25,886,919,459.52/73,702.13
  6. Step 6: Final answer
    x = 351,237.08

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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.