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Finding the Third Proportional to 58,672 and 84,077

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Solution

The third proportional to 58,672 and 84,077 is: 120,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,672 : 84,077 = 84,077 : x
  2. Step 2: Convert to fraction form
    58,672/84,077 = 84,077/x
  3. Step 3: Cross multiply
    58,672x = 84,077 × 84,077
  4. Step 4: Simplify right side
    58,672x = 7,068,941,929
  5. Step 5: Solve for x
    x = 7,068,941,929/58,672
  6. Step 6: Final answer
    x = 120,482.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.