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Finding the Third Proportional to 64,702.13 and 141,854.63

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Solution

The third proportional to 64,702.13 and 141,854.63 is: 311,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,702.13 : 141,854.63 = 141,854.63 : x
  2. Step 2: Convert to fraction form
    64,702.13/141,854.63 = 141,854.63/x
  3. Step 3: Cross multiply
    64,702.13x = 141,854.63 × 141,854.63
  4. Step 4: Simplify right side
    64,702.13x = 20,122,734,633.89
  5. Step 5: Solve for x
    x = 20,122,734,633.89/64,702.13
  6. Step 6: Final answer
    x = 311,005.78

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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.