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Finding the Third Proportional to 77,820.75 and 158,490

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Solution

The third proportional to 77,820.75 and 158,490 is: 322,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,820.75 : 158,490 = 158,490 : x
  2. Step 2: Convert to fraction form
    77,820.75/158,490 = 158,490/x
  3. Step 3: Cross multiply
    77,820.75x = 158,490 × 158,490
  4. Step 4: Simplify right side
    77,820.75x = 25,119,080,100
  5. Step 5: Solve for x
    x = 25,119,080,100/77,820.75
  6. Step 6: Final answer
    x = 322,781.26

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.