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Finding the Third Proportional to 98,776 and 152,988

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Solution

The third proportional to 98,776 and 152,988 is: 236,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,776 : 152,988 = 152,988 : x
  2. Step 2: Convert to fraction form
    98,776/152,988 = 152,988/x
  3. Step 3: Cross multiply
    98,776x = 152,988 × 152,988
  4. Step 4: Simplify right side
    98,776x = 23,405,328,144
  5. Step 5: Solve for x
    x = 23,405,328,144/98,776
  6. Step 6: Final answer
    x = 236,953.59

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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.