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Finding the Third Proportional to 48,117 and 105,534

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Solution

The third proportional to 48,117 and 105,534 is: 231,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,117 : 105,534 = 105,534 : x
  2. Step 2: Convert to fraction form
    48,117/105,534 = 105,534/x
  3. Step 3: Cross multiply
    48,117x = 105,534 × 105,534
  4. Step 4: Simplify right side
    48,117x = 11,137,425,156
  5. Step 5: Solve for x
    x = 11,137,425,156/48,117
  6. Step 6: Final answer
    x = 231,465.49

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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.