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Finding the Third Proportional to 94,328.25 and 142,707

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Solution

The third proportional to 94,328.25 and 142,707 is: 215,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,328.25 : 142,707 = 142,707 : x
  2. Step 2: Convert to fraction form
    94,328.25/142,707 = 142,707/x
  3. Step 3: Cross multiply
    94,328.25x = 142,707 × 142,707
  4. Step 4: Simplify right side
    94,328.25x = 20,365,287,849
  5. Step 5: Solve for x
    x = 20,365,287,849/94,328.25
  6. Step 6: Final answer
    x = 215,898.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.