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Finding the Third Proportional to 52,574 and 113,572

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Solution

The third proportional to 52,574 and 113,572 is: 245,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,574 : 113,572 = 113,572 : x
  2. Step 2: Convert to fraction form
    52,574/113,572 = 113,572/x
  3. Step 3: Cross multiply
    52,574x = 113,572 × 113,572
  4. Step 4: Simplify right side
    52,574x = 12,898,599,184
  5. Step 5: Solve for x
    x = 12,898,599,184/52,574
  6. Step 6: Final answer
    x = 245,341.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.