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Finding the Third Proportional to 53,071.88 and 77,420.25

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Solution

The third proportional to 53,071.88 and 77,420.25 is: 112,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,071.88 : 77,420.25 = 77,420.25 : x
  2. Step 2: Convert to fraction form
    53,071.88/77,420.25 = 77,420.25/x
  3. Step 3: Cross multiply
    53,071.88x = 77,420.25 × 77,420.25
  4. Step 4: Simplify right side
    53,071.88x = 5,993,895,110.06
  5. Step 5: Solve for x
    x = 5,993,895,110.06/53,071.88
  6. Step 6: Final answer
    x = 112,939.20

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.