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Finding the Third Proportional to 74,145.06 and 153,549.74

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Solution

The third proportional to 74,145.06 and 153,549.74 is: 317,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,145.06 : 153,549.74 = 153,549.74 : x
  2. Step 2: Convert to fraction form
    74,145.06/153,549.74 = 153,549.74/x
  3. Step 3: Cross multiply
    74,145.06x = 153,549.74 × 153,549.74
  4. Step 4: Simplify right side
    74,145.06x = 23,577,522,126.24
  5. Step 5: Solve for x
    x = 23,577,522,126.24/74,145.06
  6. Step 6: Final answer
    x = 317,991.82

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.