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Finding the Third Proportional to 105,064 and 154,140

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Solution

The third proportional to 105,064 and 154,140 is: 226,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,064 : 154,140 = 154,140 : x
  2. Step 2: Convert to fraction form
    105,064/154,140 = 154,140/x
  3. Step 3: Cross multiply
    105,064x = 154,140 × 154,140
  4. Step 4: Simplify right side
    105,064x = 23,759,139,600
  5. Step 5: Solve for x
    x = 23,759,139,600/105,064
  6. Step 6: Final answer
    x = 226,139.68

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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.