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Finding the Third Proportional to 121,929 and 174,022.50

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Solution

The third proportional to 121,929 and 174,022.50 is: 248,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,929 : 174,022.50 = 174,022.50 : x
  2. Step 2: Convert to fraction form
    121,929/174,022.50 = 174,022.50/x
  3. Step 3: Cross multiply
    121,929x = 174,022.50 × 174,022.50
  4. Step 4: Simplify right side
    121,929x = 30,283,830,506.25
  5. Step 5: Solve for x
    x = 30,283,830,506.25/121,929
  6. Step 6: Final answer
    x = 248,372.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.