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Finding the Third Proportional to 53,050.25 and 72,091

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Solution

The third proportional to 53,050.25 and 72,091 is: 97,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,050.25 : 72,091 = 72,091 : x
  2. Step 2: Convert to fraction form
    53,050.25/72,091 = 72,091/x
  3. Step 3: Cross multiply
    53,050.25x = 72,091 × 72,091
  4. Step 4: Simplify right side
    53,050.25x = 5,197,112,281
  5. Step 5: Solve for x
    x = 5,197,112,281/53,050.25
  6. Step 6: Final answer
    x = 97,965.84

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.