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Finding the Third Proportional to 102,526 and 137,955

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Solution

The third proportional to 102,526 and 137,955 is: 185,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,526 : 137,955 = 137,955 : x
  2. Step 2: Convert to fraction form
    102,526/137,955 = 137,955/x
  3. Step 3: Cross multiply
    102,526x = 137,955 × 137,955
  4. Step 4: Simplify right side
    102,526x = 19,031,582,025
  5. Step 5: Solve for x
    x = 19,031,582,025/102,526
  6. Step 6: Final answer
    x = 185,626.89

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.