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Finding the Third Proportional to 53,391 and 77,332.50

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Solution

The third proportional to 53,391 and 77,332.50 is: 112,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,391 : 77,332.50 = 77,332.50 : x
  2. Step 2: Convert to fraction form
    53,391/77,332.50 = 77,332.50/x
  3. Step 3: Cross multiply
    53,391x = 77,332.50 × 77,332.50
  4. Step 4: Simplify right side
    53,391x = 5,980,315,556.25
  5. Step 5: Solve for x
    x = 5,980,315,556.25/53,391
  6. Step 6: Final answer
    x = 112,009.81

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.