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Finding the Third Proportional to 74,276 and 115,061.50

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Solution

The third proportional to 74,276 and 115,061.50 is: 178,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,276 : 115,061.50 = 115,061.50 : x
  2. Step 2: Convert to fraction form
    74,276/115,061.50 = 115,061.50/x
  3. Step 3: Cross multiply
    74,276x = 115,061.50 × 115,061.50
  4. Step 4: Simplify right side
    74,276x = 13,239,148,782.25
  5. Step 5: Solve for x
    x = 13,239,148,782.25/74,276
  6. Step 6: Final answer
    x = 178,242.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.