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Finding the Third Proportional to 60,317.16 and 132,298.31

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Solution

The third proportional to 60,317.16 and 132,298.31 is: 290,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,317.16 : 132,298.31 = 132,298.31 : x
  2. Step 2: Convert to fraction form
    60,317.16/132,298.31 = 132,298.31/x
  3. Step 3: Cross multiply
    60,317.16x = 132,298.31 × 132,298.31
  4. Step 4: Simplify right side
    60,317.16x = 17,502,843,490.35
  5. Step 5: Solve for x
    x = 17,502,843,490.35/60,317.16
  6. Step 6: Final answer
    x = 290,180.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.