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Finding the Third Proportional to 115,674.19 and 157,586.06

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Solution

The third proportional to 115,674.19 and 157,586.06 is: 214,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,674.19 : 157,586.06 = 157,586.06 : x
  2. Step 2: Convert to fraction form
    115,674.19/157,586.06 = 157,586.06/x
  3. Step 3: Cross multiply
    115,674.19x = 157,586.06 × 157,586.06
  4. Step 4: Simplify right side
    115,674.19x = 24,833,367,094.25
  5. Step 5: Solve for x
    x = 24,833,367,094.25/115,674.19
  6. Step 6: Final answer
    x = 214,683.74

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.