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Finding the Third Proportional to 72,416.50 and 151,454

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Solution

The third proportional to 72,416.50 and 151,454 is: 316,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,416.50 : 151,454 = 151,454 : x
  2. Step 2: Convert to fraction form
    72,416.50/151,454 = 151,454/x
  3. Step 3: Cross multiply
    72,416.50x = 151,454 × 151,454
  4. Step 4: Simplify right side
    72,416.50x = 22,938,314,116
  5. Step 5: Solve for x
    x = 22,938,314,116/72,416.50
  6. Step 6: Final answer
    x = 316,755.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.