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Finding the Third Proportional to 61,938 and 94,904.25

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Solution

The third proportional to 61,938 and 94,904.25 is: 145,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,938 : 94,904.25 = 94,904.25 : x
  2. Step 2: Convert to fraction form
    61,938/94,904.25 = 94,904.25/x
  3. Step 3: Cross multiply
    61,938x = 94,904.25 × 94,904.25
  4. Step 4: Simplify right side
    61,938x = 9,006,816,668.06
  5. Step 5: Solve for x
    x = 9,006,816,668.06/61,938
  6. Step 6: Final answer
    x = 145,416.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.