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Finding the Third Proportional to 60,297 and 130,973

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Solution

The third proportional to 60,297 and 130,973 is: 284,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,297 : 130,973 = 130,973 : x
  2. Step 2: Convert to fraction form
    60,297/130,973 = 130,973/x
  3. Step 3: Cross multiply
    60,297x = 130,973 × 130,973
  4. Step 4: Simplify right side
    60,297x = 17,153,926,729
  5. Step 5: Solve for x
    x = 17,153,926,729/60,297
  6. Step 6: Final answer
    x = 284,490.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.