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Finding the Third Proportional to 91,155 and 139,924

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Solution

The third proportional to 91,155 and 139,924 is: 214,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,155 : 139,924 = 139,924 : x
  2. Step 2: Convert to fraction form
    91,155/139,924 = 139,924/x
  3. Step 3: Cross multiply
    91,155x = 139,924 × 139,924
  4. Step 4: Simplify right side
    91,155x = 19,578,725,776
  5. Step 5: Solve for x
    x = 19,578,725,776/91,155
  6. Step 6: Final answer
    x = 214,784.99

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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.