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Finding the Third Proportional to 65,656.13 and 144,077.06

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Solution

The third proportional to 65,656.13 and 144,077.06 is: 316,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,656.13 : 144,077.06 = 144,077.06 : x
  2. Step 2: Convert to fraction form
    65,656.13/144,077.06 = 144,077.06/x
  3. Step 3: Cross multiply
    65,656.13x = 144,077.06 × 144,077.06
  4. Step 4: Simplify right side
    65,656.13x = 20,758,199,938.63
  5. Step 5: Solve for x
    x = 20,758,199,938.63/65,656.13
  6. Step 6: Final answer
    x = 316,165.47

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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.