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Finding the Third Proportional to 48,528 and 105,840

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Solution

The third proportional to 48,528 and 105,840 is: 230,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,528 : 105,840 = 105,840 : x
  2. Step 2: Convert to fraction form
    48,528/105,840 = 105,840/x
  3. Step 3: Cross multiply
    48,528x = 105,840 × 105,840
  4. Step 4: Simplify right side
    48,528x = 11,202,105,600
  5. Step 5: Solve for x
    x = 11,202,105,600/48,528
  6. Step 6: Final answer
    x = 230,837.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.