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Finding the Third Proportional to 49,372 and 78,430

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Solution

The third proportional to 49,372 and 78,430 is: 124,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,372 : 78,430 = 78,430 : x
  2. Step 2: Convert to fraction form
    49,372/78,430 = 78,430/x
  3. Step 3: Cross multiply
    49,372x = 78,430 × 78,430
  4. Step 4: Simplify right side
    49,372x = 6,151,264,900
  5. Step 5: Solve for x
    x = 6,151,264,900/49,372
  6. Step 6: Final answer
    x = 124,590.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.