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Finding the Third Proportional to 104,521 and 157,753.50

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Solution

The third proportional to 104,521 and 157,753.50 is: 238,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,521 : 157,753.50 = 157,753.50 : x
  2. Step 2: Convert to fraction form
    104,521/157,753.50 = 157,753.50/x
  3. Step 3: Cross multiply
    104,521x = 157,753.50 × 157,753.50
  4. Step 4: Simplify right side
    104,521x = 24,886,166,762.25
  5. Step 5: Solve for x
    x = 24,886,166,762.25/104,521
  6. Step 6: Final answer
    x = 238,097.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.