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Finding the Third Proportional to 63,480 and 93,255

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Solution

The third proportional to 63,480 and 93,255 is: 136,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,480 : 93,255 = 93,255 : x
  2. Step 2: Convert to fraction form
    63,480/93,255 = 93,255/x
  3. Step 3: Cross multiply
    63,480x = 93,255 × 93,255
  4. Step 4: Simplify right side
    63,480x = 8,696,495,025
  5. Step 5: Solve for x
    x = 8,696,495,025/63,480
  6. Step 6: Final answer
    x = 136,995.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.