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Finding the Third Proportional to 58,534 and 130,205

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Solution

The third proportional to 58,534 and 130,205 is: 289,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,534 : 130,205 = 130,205 : x
  2. Step 2: Convert to fraction form
    58,534/130,205 = 130,205/x
  3. Step 3: Cross multiply
    58,534x = 130,205 × 130,205
  4. Step 4: Simplify right side
    58,534x = 16,953,342,025
  5. Step 5: Solve for x
    x = 16,953,342,025/58,534
  6. Step 6: Final answer
    x = 289,632.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.