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Finding the Third Proportional to 46,909.75 and 69,123.75

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Solution

The third proportional to 46,909.75 and 69,123.75 is: 101,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,909.75 : 69,123.75 = 69,123.75 : x
  2. Step 2: Convert to fraction form
    46,909.75/69,123.75 = 69,123.75/x
  3. Step 3: Cross multiply
    46,909.75x = 69,123.75 × 69,123.75
  4. Step 4: Simplify right side
    46,909.75x = 4,778,092,814.06
  5. Step 5: Solve for x
    x = 4,778,092,814.06/46,909.75
  6. Step 6: Final answer
    x = 101,857.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.