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Finding the Third Proportional to 58,961 and 93,361

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Solution

The third proportional to 58,961 and 93,361 is: 147,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,961 : 93,361 = 93,361 : x
  2. Step 2: Convert to fraction form
    58,961/93,361 = 93,361/x
  3. Step 3: Cross multiply
    58,961x = 93,361 × 93,361
  4. Step 4: Simplify right side
    58,961x = 8,716,276,321
  5. Step 5: Solve for x
    x = 8,716,276,321/58,961
  6. Step 6: Final answer
    x = 147,831.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.