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Finding the Third Proportional to 70,908 and 106,359

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Solution

The third proportional to 70,908 and 106,359 is: 159,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,908 : 106,359 = 106,359 : x
  2. Step 2: Convert to fraction form
    70,908/106,359 = 106,359/x
  3. Step 3: Cross multiply
    70,908x = 106,359 × 106,359
  4. Step 4: Simplify right side
    70,908x = 11,312,236,881
  5. Step 5: Solve for x
    x = 11,312,236,881/70,908
  6. Step 6: Final answer
    x = 159,534.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.