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Finding the Third Proportional to 126,507 and 197,537

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Solution

The third proportional to 126,507 and 197,537 is: 308,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,507 : 197,537 = 197,537 : x
  2. Step 2: Convert to fraction form
    126,507/197,537 = 197,537/x
  3. Step 3: Cross multiply
    126,507x = 197,537 × 197,537
  4. Step 4: Simplify right side
    126,507x = 39,020,866,369
  5. Step 5: Solve for x
    x = 39,020,866,369/126,507
  6. Step 6: Final answer
    x = 308,448.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.