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Finding the Third Proportional to 53,024 and 77,945

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Solution

The third proportional to 53,024 and 77,945 is: 114,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,024 : 77,945 = 77,945 : x
  2. Step 2: Convert to fraction form
    53,024/77,945 = 77,945/x
  3. Step 3: Cross multiply
    53,024x = 77,945 × 77,945
  4. Step 4: Simplify right side
    53,024x = 6,075,423,025
  5. Step 5: Solve for x
    x = 6,075,423,025/53,024
  6. Step 6: Final answer
    x = 114,578.74

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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.