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Finding the Third Proportional to 92,407 and 156,684

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Solution

The third proportional to 92,407 and 156,684 is: 265,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,407 : 156,684 = 156,684 : x
  2. Step 2: Convert to fraction form
    92,407/156,684 = 156,684/x
  3. Step 3: Cross multiply
    92,407x = 156,684 × 156,684
  4. Step 4: Simplify right side
    92,407x = 24,549,875,856
  5. Step 5: Solve for x
    x = 24,549,875,856/92,407
  6. Step 6: Final answer
    x = 265,671.17

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.