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Finding the Third Proportional to 70,253.16 and 107,139.38

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Solution

The third proportional to 70,253.16 and 107,139.38 is: 163,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,253.16 : 107,139.38 = 107,139.38 : x
  2. Step 2: Convert to fraction form
    70,253.16/107,139.38 = 107,139.38/x
  3. Step 3: Cross multiply
    70,253.16x = 107,139.38 × 107,139.38
  4. Step 4: Simplify right side
    70,253.16x = 11,478,845,675.39
  5. Step 5: Solve for x
    x = 11,478,845,675.39/70,253.16
  6. Step 6: Final answer
    x = 163,392.60

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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.