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Finding the Third Proportional to 119,988 and 171,472.50

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Solution

The third proportional to 119,988 and 171,472.50 is: 245,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,988 : 171,472.50 = 171,472.50 : x
  2. Step 2: Convert to fraction form
    119,988/171,472.50 = 171,472.50/x
  3. Step 3: Cross multiply
    119,988x = 171,472.50 × 171,472.50
  4. Step 4: Simplify right side
    119,988x = 29,402,818,256.25
  5. Step 5: Solve for x
    x = 29,402,818,256.25/119,988
  6. Step 6: Final answer
    x = 245,047.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.