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Finding the Third Proportional to 53,929.69 and 84,603.94

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Solution

The third proportional to 53,929.69 and 84,603.94 is: 132,725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,929.69 : 84,603.94 = 84,603.94 : x
  2. Step 2: Convert to fraction form
    53,929.69/84,603.94 = 84,603.94/x
  3. Step 3: Cross multiply
    53,929.69x = 84,603.94 × 84,603.94
  4. Step 4: Simplify right side
    53,929.69x = 7,157,826,240.50
  5. Step 5: Solve for x
    x = 7,157,826,240.50/53,929.69
  6. Step 6: Final answer
    x = 132,725.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.