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Finding the Third Proportional to 102,064 and 157,644

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Solution

The third proportional to 102,064 and 157,644 is: 243,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064 : 157,644 = 157,644 : x
  2. Step 2: Convert to fraction form
    102,064/157,644 = 157,644/x
  3. Step 3: Cross multiply
    102,064x = 157,644 × 157,644
  4. Step 4: Simplify right side
    102,064x = 24,851,630,736
  5. Step 5: Solve for x
    x = 24,851,630,736/102,064
  6. Step 6: Final answer
    x = 243,490.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.