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Finding the Third Proportional to 48,712 and 105,020

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Solution

The third proportional to 48,712 and 105,020 is: 226,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,712 : 105,020 = 105,020 : x
  2. Step 2: Convert to fraction form
    48,712/105,020 = 105,020/x
  3. Step 3: Cross multiply
    48,712x = 105,020 × 105,020
  4. Step 4: Simplify right side
    48,712x = 11,029,200,400
  5. Step 5: Solve for x
    x = 11,029,200,400/48,712
  6. Step 6: Final answer
    x = 226,416.50

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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.