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Finding the Third Proportional to 92,070 and 139,350

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Solution

The third proportional to 92,070 and 139,350 is: 210,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,070 : 139,350 = 139,350 : x
  2. Step 2: Convert to fraction form
    92,070/139,350 = 139,350/x
  3. Step 3: Cross multiply
    92,070x = 139,350 × 139,350
  4. Step 4: Simplify right side
    92,070x = 19,418,422,500
  5. Step 5: Solve for x
    x = 19,418,422,500/92,070
  6. Step 6: Final answer
    x = 210,909.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.