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Finding the Third Proportional to 48,730 and 106,570

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Solution

The third proportional to 48,730 and 106,570 is: 233,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,730 : 106,570 = 106,570 : x
  2. Step 2: Convert to fraction form
    48,730/106,570 = 106,570/x
  3. Step 3: Cross multiply
    48,730x = 106,570 × 106,570
  4. Step 4: Simplify right side
    48,730x = 11,357,164,900
  5. Step 5: Solve for x
    x = 11,357,164,900/48,730
  6. Step 6: Final answer
    x = 233,063.10

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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.