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Finding the Third Proportional to 118,730 and 174,925

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Solution

The third proportional to 118,730 and 174,925 is: 257,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,730 : 174,925 = 174,925 : x
  2. Step 2: Convert to fraction form
    118,730/174,925 = 174,925/x
  3. Step 3: Cross multiply
    118,730x = 174,925 × 174,925
  4. Step 4: Simplify right side
    118,730x = 30,598,755,625
  5. Step 5: Solve for x
    x = 30,598,755,625/118,730
  6. Step 6: Final answer
    x = 257,717.14

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