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Finding the Third Proportional to 60,323 and 93,931

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Solution

The third proportional to 60,323 and 93,931 is: 146,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,323 : 93,931 = 93,931 : x
  2. Step 2: Convert to fraction form
    60,323/93,931 = 93,931/x
  3. Step 3: Cross multiply
    60,323x = 93,931 × 93,931
  4. Step 4: Simplify right side
    60,323x = 8,823,032,761
  5. Step 5: Solve for x
    x = 8,823,032,761/60,323
  6. Step 6: Final answer
    x = 146,263.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.