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Finding the Third Proportional to 103,051.13 and 163,927.69

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Solution

The third proportional to 103,051.13 and 163,927.69 is: 260,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,051.13 : 163,927.69 = 163,927.69 : x
  2. Step 2: Convert to fraction form
    103,051.13/163,927.69 = 163,927.69/x
  3. Step 3: Cross multiply
    103,051.13x = 163,927.69 × 163,927.69
  4. Step 4: Simplify right side
    103,051.13x = 26,872,286,729.10
  5. Step 5: Solve for x
    x = 26,872,286,729.10/103,051.13
  6. Step 6: Final answer
    x = 260,766.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.