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Finding the Third Proportional to 89,931 and 139,725

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Solution

The third proportional to 89,931 and 139,725 is: 217,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,931 : 139,725 = 139,725 : x
  2. Step 2: Convert to fraction form
    89,931/139,725 = 139,725/x
  3. Step 3: Cross multiply
    89,931x = 139,725 × 139,725
  4. Step 4: Simplify right side
    89,931x = 19,523,075,625
  5. Step 5: Solve for x
    x = 19,523,075,625/89,931
  6. Step 6: Final answer
    x = 217,089.50

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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.