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Finding the Third Proportional to 70,259.06 and 107,146.13

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Solution

The third proportional to 70,259.06 and 107,146.13 is: 163,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,259.06 : 107,146.13 = 107,146.13 : x
  2. Step 2: Convert to fraction form
    70,259.06/107,146.13 = 107,146.13/x
  3. Step 3: Cross multiply
    70,259.06x = 107,146.13 × 107,146.13
  4. Step 4: Simplify right side
    70,259.06x = 11,480,292,102.52
  5. Step 5: Solve for x
    x = 11,480,292,102.52/70,259.06
  6. Step 6: Final answer
    x = 163,399.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.