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Finding the Third Proportional to 48,246 and 75,058.50

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Solution

The third proportional to 48,246 and 75,058.50 is: 116,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,246 : 75,058.50 = 75,058.50 : x
  2. Step 2: Convert to fraction form
    48,246/75,058.50 = 75,058.50/x
  3. Step 3: Cross multiply
    48,246x = 75,058.50 × 75,058.50
  4. Step 4: Simplify right side
    48,246x = 5,633,778,422.25
  5. Step 5: Solve for x
    x = 5,633,778,422.25/48,246
  6. Step 6: Final answer
    x = 116,771.93

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.