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Finding the Third Proportional to 60,133.50 and 130,473

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Solution

The third proportional to 60,133.50 and 130,473 is: 283,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,133.50 : 130,473 = 130,473 : x
  2. Step 2: Convert to fraction form
    60,133.50/130,473 = 130,473/x
  3. Step 3: Cross multiply
    60,133.50x = 130,473 × 130,473
  4. Step 4: Simplify right side
    60,133.50x = 17,023,203,729
  5. Step 5: Solve for x
    x = 17,023,203,729/60,133.50
  6. Step 6: Final answer
    x = 283,090.19

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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.