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Finding the Third Proportional to 123,575 and 197,106

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Solution

The third proportional to 123,575 and 197,106 is: 314,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,575 : 197,106 = 197,106 : x
  2. Step 2: Convert to fraction form
    123,575/197,106 = 197,106/x
  3. Step 3: Cross multiply
    123,575x = 197,106 × 197,106
  4. Step 4: Simplify right side
    123,575x = 38,850,775,236
  5. Step 5: Solve for x
    x = 38,850,775,236/123,575
  6. Step 6: Final answer
    x = 314,390.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.