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Finding the Third Proportional to 53,130.94 and 74,289.66

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Solution

The third proportional to 53,130.94 and 74,289.66 is: 103,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,130.94 : 74,289.66 = 74,289.66 : x
  2. Step 2: Convert to fraction form
    53,130.94/74,289.66 = 74,289.66/x
  3. Step 3: Cross multiply
    53,130.94x = 74,289.66 × 74,289.66
  4. Step 4: Simplify right side
    53,130.94x = 5,518,953,025.74
  5. Step 5: Solve for x
    x = 5,518,953,025.74/53,130.94
  6. Step 6: Final answer
    x = 103,874.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.