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Finding the Third Proportional to 64,702.13 and 144,470.25

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Solution

The third proportional to 64,702.13 and 144,470.25 is: 322,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,702.13 : 144,470.25 = 144,470.25 : x
  2. Step 2: Convert to fraction form
    64,702.13/144,470.25 = 144,470.25/x
  3. Step 3: Cross multiply
    64,702.13x = 144,470.25 × 144,470.25
  4. Step 4: Simplify right side
    64,702.13x = 20,871,653,135.06
  5. Step 5: Solve for x
    x = 20,871,653,135.06/64,702.13
  6. Step 6: Final answer
    x = 322,580.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.