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Finding the Third Proportional to 53,018 and 77,936

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Solution

The third proportional to 53,018 and 77,936 is: 114,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,018 : 77,936 = 77,936 : x
  2. Step 2: Convert to fraction form
    53,018/77,936 = 77,936/x
  3. Step 3: Cross multiply
    53,018x = 77,936 × 77,936
  4. Step 4: Simplify right side
    53,018x = 6,074,020,096
  5. Step 5: Solve for x
    x = 6,074,020,096/53,018
  6. Step 6: Final answer
    x = 114,565.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.