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Finding the Third Proportional to 105,064 and 157,219

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Solution

The third proportional to 105,064 and 157,219 is: 235,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,064 : 157,219 = 157,219 : x
  2. Step 2: Convert to fraction form
    105,064/157,219 = 157,219/x
  3. Step 3: Cross multiply
    105,064x = 157,219 × 157,219
  4. Step 4: Simplify right side
    105,064x = 24,717,813,961
  5. Step 5: Solve for x
    x = 24,717,813,961/105,064
  6. Step 6: Final answer
    x = 235,264.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.