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Finding the Third Proportional to 102,728.25 and 157,808.25

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Solution

The third proportional to 102,728.25 and 157,808.25 is: 242,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,728.25 : 157,808.25 = 157,808.25 : x
  2. Step 2: Convert to fraction form
    102,728.25/157,808.25 = 157,808.25/x
  3. Step 3: Cross multiply
    102,728.25x = 157,808.25 × 157,808.25
  4. Step 4: Simplify right side
    102,728.25x = 24,903,443,768.06
  5. Step 5: Solve for x
    x = 24,903,443,768.06/102,728.25
  6. Step 6: Final answer
    x = 242,420.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.