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Finding the Third Proportional to 121,303 and 173,695

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Solution

The third proportional to 121,303 and 173,695 is: 248,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,303 : 173,695 = 173,695 : x
  2. Step 2: Convert to fraction form
    121,303/173,695 = 173,695/x
  3. Step 3: Cross multiply
    121,303x = 173,695 × 173,695
  4. Step 4: Simplify right side
    121,303x = 30,169,953,025
  5. Step 5: Solve for x
    x = 30,169,953,025/121,303
  6. Step 6: Final answer
    x = 248,715.64

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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.