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Finding the Third Proportional to 53,835 and 77,062

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Solution

The third proportional to 53,835 and 77,062 is: 110,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,835 : 77,062 = 77,062 : x
  2. Step 2: Convert to fraction form
    53,835/77,062 = 77,062/x
  3. Step 3: Cross multiply
    53,835x = 77,062 × 77,062
  4. Step 4: Simplify right side
    53,835x = 5,938,551,844
  5. Step 5: Solve for x
    x = 5,938,551,844/53,835
  6. Step 6: Final answer
    x = 110,310.24

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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.