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Finding the Third Proportional to 70,200 and 94,572

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Solution

The third proportional to 70,200 and 94,572 is: 127,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,200 : 94,572 = 94,572 : x
  2. Step 2: Convert to fraction form
    70,200/94,572 = 94,572/x
  3. Step 3: Cross multiply
    70,200x = 94,572 × 94,572
  4. Step 4: Simplify right side
    70,200x = 8,943,863,184
  5. Step 5: Solve for x
    x = 8,943,863,184/70,200
  6. Step 6: Final answer
    x = 127,405.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.