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Finding the Third Proportional to 92,070 and 142,173

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Solution

The third proportional to 92,070 and 142,173 is: 219,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,070 : 142,173 = 142,173 : x
  2. Step 2: Convert to fraction form
    92,070/142,173 = 142,173/x
  3. Step 3: Cross multiply
    92,070x = 142,173 × 142,173
  4. Step 4: Simplify right side
    92,070x = 20,213,161,929
  5. Step 5: Solve for x
    x = 20,213,161,929/92,070
  6. Step 6: Final answer
    x = 219,541.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.