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Finding the Third Proportional to 64,842 and 94,925.25

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Solution

The third proportional to 64,842 and 94,925.25 is: 138,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,842 : 94,925.25 = 94,925.25 : x
  2. Step 2: Convert to fraction form
    64,842/94,925.25 = 94,925.25/x
  3. Step 3: Cross multiply
    64,842x = 94,925.25 × 94,925.25
  4. Step 4: Simplify right side
    64,842x = 9,010,803,087.56
  5. Step 5: Solve for x
    x = 9,010,803,087.56/64,842
  6. Step 6: Final answer
    x = 138,965.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.