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Finding the Third Proportional to 60,140 and 131,562

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Solution

The third proportional to 60,140 and 131,562 is: 287,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,140 : 131,562 = 131,562 : x
  2. Step 2: Convert to fraction form
    60,140/131,562 = 131,562/x
  3. Step 3: Cross multiply
    60,140x = 131,562 × 131,562
  4. Step 4: Simplify right side
    60,140x = 17,308,559,844
  5. Step 5: Solve for x
    x = 17,308,559,844/60,140
  6. Step 6: Final answer
    x = 287,804.45

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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.