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Finding the Third Proportional to 97,521 and 155,164

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Solution

The third proportional to 97,521 and 155,164 is: 246,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,521 : 155,164 = 155,164 : x
  2. Step 2: Convert to fraction form
    97,521/155,164 = 155,164/x
  3. Step 3: Cross multiply
    97,521x = 155,164 × 155,164
  4. Step 4: Simplify right side
    97,521x = 24,075,866,896
  5. Step 5: Solve for x
    x = 24,075,866,896/97,521
  6. Step 6: Final answer
    x = 246,878.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.