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Finding the Third Proportional to 118,528 and 180,095

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Solution

The third proportional to 118,528 and 180,095 is: 273,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,528 : 180,095 = 180,095 : x
  2. Step 2: Convert to fraction form
    118,528/180,095 = 180,095/x
  3. Step 3: Cross multiply
    118,528x = 180,095 × 180,095
  4. Step 4: Simplify right side
    118,528x = 32,434,209,025
  5. Step 5: Solve for x
    x = 32,434,209,025/118,528
  6. Step 6: Final answer
    x = 273,641.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.