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Finding the Third Proportional to 48,730 and 106,572

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Solution

The third proportional to 48,730 and 106,572 is: 233,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,730 : 106,572 = 106,572 : x
  2. Step 2: Convert to fraction form
    48,730/106,572 = 106,572/x
  3. Step 3: Cross multiply
    48,730x = 106,572 × 106,572
  4. Step 4: Simplify right side
    48,730x = 11,357,591,184
  5. Step 5: Solve for x
    x = 11,357,591,184/48,730
  6. Step 6: Final answer
    x = 233,071.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.