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Finding the Third Proportional to 91,507 and 197,594

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Solution

The third proportional to 91,507 and 197,594 is: 426,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,507 : 197,594 = 197,594 : x
  2. Step 2: Convert to fraction form
    91,507/197,594 = 197,594/x
  3. Step 3: Cross multiply
    91,507x = 197,594 × 197,594
  4. Step 4: Simplify right side
    91,507x = 39,043,388,836
  5. Step 5: Solve for x
    x = 39,043,388,836/91,507
  6. Step 6: Final answer
    x = 426,671.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.