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Finding the Third Proportional to 90,610 and 139,955

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Solution

The third proportional to 90,610 and 139,955 is: 216,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,610 : 139,955 = 139,955 : x
  2. Step 2: Convert to fraction form
    90,610/139,955 = 139,955/x
  3. Step 3: Cross multiply
    90,610x = 139,955 × 139,955
  4. Step 4: Simplify right side
    90,610x = 19,587,402,025
  5. Step 5: Solve for x
    x = 19,587,402,025/90,610
  6. Step 6: Final answer
    x = 216,172.63

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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.