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Finding the Third Proportional to 92,284 and 144,572

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Solution

The third proportional to 92,284 and 144,572 is: 226,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,284 : 144,572 = 144,572 : x
  2. Step 2: Convert to fraction form
    92,284/144,572 = 144,572/x
  3. Step 3: Cross multiply
    92,284x = 144,572 × 144,572
  4. Step 4: Simplify right side
    92,284x = 20,901,063,184
  5. Step 5: Solve for x
    x = 20,901,063,184/92,284
  6. Step 6: Final answer
    x = 226,486.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.