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Finding the Third Proportional to 70,018.88 and 107,624.06

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Solution

The third proportional to 70,018.88 and 107,624.06 is: 165,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,018.88 : 107,624.06 = 107,624.06 : x
  2. Step 2: Convert to fraction form
    70,018.88/107,624.06 = 107,624.06/x
  3. Step 3: Cross multiply
    70,018.88x = 107,624.06 × 107,624.06
  4. Step 4: Simplify right side
    70,018.88x = 11,582,938,829.00
  5. Step 5: Solve for x
    x = 11,582,938,829.00/70,018.88
  6. Step 6: Final answer
    x = 165,425.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.