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Finding the Third Proportional to 61,803 and 133,461

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Solution

The third proportional to 61,803 and 133,461 is: 288,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,803 : 133,461 = 133,461 : x
  2. Step 2: Convert to fraction form
    61,803/133,461 = 133,461/x
  3. Step 3: Cross multiply
    61,803x = 133,461 × 133,461
  4. Step 4: Simplify right side
    61,803x = 17,811,838,521
  5. Step 5: Solve for x
    x = 17,811,838,521/61,803
  6. Step 6: Final answer
    x = 288,203.46

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