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Finding the Third Proportional to 118,970 and 174,483

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Solution

The third proportional to 118,970 and 174,483 is: 255,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,970 : 174,483 = 174,483 : x
  2. Step 2: Convert to fraction form
    118,970/174,483 = 174,483/x
  3. Step 3: Cross multiply
    118,970x = 174,483 × 174,483
  4. Step 4: Simplify right side
    118,970x = 30,444,317,289
  5. Step 5: Solve for x
    x = 30,444,317,289/118,970
  6. Step 6: Final answer
    x = 255,899.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.