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Finding the Third Proportional to 58,752 and 120,528

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Solution

The third proportional to 58,752 and 120,528 is: 247,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,752 : 120,528 = 120,528 : x
  2. Step 2: Convert to fraction form
    58,752/120,528 = 120,528/x
  3. Step 3: Cross multiply
    58,752x = 120,528 × 120,528
  4. Step 4: Simplify right side
    58,752x = 14,526,998,784
  5. Step 5: Solve for x
    x = 14,526,998,784/58,752
  6. Step 6: Final answer
    x = 247,259.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.