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Finding the Third Proportional to 53,022 and 77,943

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Solution

The third proportional to 53,022 and 77,943 is: 114,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,022 : 77,943 = 77,943 : x
  2. Step 2: Convert to fraction form
    53,022/77,943 = 77,943/x
  3. Step 3: Cross multiply
    53,022x = 77,943 × 77,943
  4. Step 4: Simplify right side
    53,022x = 6,075,111,249
  5. Step 5: Solve for x
    x = 6,075,111,249/53,022
  6. Step 6: Final answer
    x = 114,577.18

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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.