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Finding the Third Proportional to 92,730 and 139,527

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Solution

The third proportional to 92,730 and 139,527 is: 209,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,730 : 139,527 = 139,527 : x
  2. Step 2: Convert to fraction form
    92,730/139,527 = 139,527/x
  3. Step 3: Cross multiply
    92,730x = 139,527 × 139,527
  4. Step 4: Simplify right side
    92,730x = 19,467,783,729
  5. Step 5: Solve for x
    x = 19,467,783,729/92,730
  6. Step 6: Final answer
    x = 209,940.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.