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Finding the Third Proportional to 58.50 and 130.50

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Solution

The third proportional to 58.50 and 130.50 is: 291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 130.50 = 130.50 : x
  2. Step 2: Convert to fraction form
    58.50/130.50 = 130.50/x
  3. Step 3: Cross multiply
    58.50x = 130.50 × 130.50
  4. Step 4: Simplify right side
    58.50x = 17,030.25
  5. Step 5: Solve for x
    x = 17,030.25/58.50
  6. Step 6: Final answer
    x = 291.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.