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Finding the Third Proportional to 70,254 and 105,382

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Solution

The third proportional to 70,254 and 105,382 is: 158,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,254 : 105,382 = 105,382 : x
  2. Step 2: Convert to fraction form
    70,254/105,382 = 105,382/x
  3. Step 3: Cross multiply
    70,254x = 105,382 × 105,382
  4. Step 4: Simplify right side
    70,254x = 11,105,365,924
  5. Step 5: Solve for x
    x = 11,105,365,924/70,254
  6. Step 6: Final answer
    x = 158,074.50

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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.