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Finding the Third Proportional to 60,345 and 132,637.50

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Solution

The third proportional to 60,345 and 132,637.50 is: 291,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,345 : 132,637.50 = 132,637.50 : x
  2. Step 2: Convert to fraction form
    60,345/132,637.50 = 132,637.50/x
  3. Step 3: Cross multiply
    60,345x = 132,637.50 × 132,637.50
  4. Step 4: Simplify right side
    60,345x = 17,592,706,406.25
  5. Step 5: Solve for x
    x = 17,592,706,406.25/60,345
  6. Step 6: Final answer
    x = 291,535.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.