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Finding the Third Proportional to 121,215 and 186,061.50

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Solution

The third proportional to 121,215 and 186,061.50 is: 285,598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,215 : 186,061.50 = 186,061.50 : x
  2. Step 2: Convert to fraction form
    121,215/186,061.50 = 186,061.50/x
  3. Step 3: Cross multiply
    121,215x = 186,061.50 × 186,061.50
  4. Step 4: Simplify right side
    121,215x = 34,618,881,782.25
  5. Step 5: Solve for x
    x = 34,618,881,782.25/121,215
  6. Step 6: Final answer
    x = 285,598.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.