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Finding the Third Proportional to 98,590 and 152,943

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Solution

The third proportional to 98,590 and 152,943 is: 237,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,590 : 152,943 = 152,943 : x
  2. Step 2: Convert to fraction form
    98,590/152,943 = 152,943/x
  3. Step 3: Cross multiply
    98,590x = 152,943 × 152,943
  4. Step 4: Simplify right side
    98,590x = 23,391,561,249
  5. Step 5: Solve for x
    x = 23,391,561,249/98,590
  6. Step 6: Final answer
    x = 237,260.99

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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.