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Finding the Third Proportional to 124,315 and 197,159

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Solution

The third proportional to 124,315 and 197,159 is: 312,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,315 : 197,159 = 197,159 : x
  2. Step 2: Convert to fraction form
    124,315/197,159 = 197,159/x
  3. Step 3: Cross multiply
    124,315x = 197,159 × 197,159
  4. Step 4: Simplify right side
    124,315x = 38,871,671,281
  5. Step 5: Solve for x
    x = 38,871,671,281/124,315
  6. Step 6: Final answer
    x = 312,686.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.