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Finding the Third Proportional to 60,376.50 and 132,417

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Solution

The third proportional to 60,376.50 and 132,417 is: 290,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,376.50 : 132,417 = 132,417 : x
  2. Step 2: Convert to fraction form
    60,376.50/132,417 = 132,417/x
  3. Step 3: Cross multiply
    60,376.50x = 132,417 × 132,417
  4. Step 4: Simplify right side
    60,376.50x = 17,534,261,889
  5. Step 5: Solve for x
    x = 17,534,261,889/60,376.50
  6. Step 6: Final answer
    x = 290,415.34

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Why These Related Problems?

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