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Finding the Third Proportional to 65,248 and 93,328

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Solution

The third proportional to 65,248 and 93,328 is: 133,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,248 : 93,328 = 93,328 : x
  2. Step 2: Convert to fraction form
    65,248/93,328 = 93,328/x
  3. Step 3: Cross multiply
    65,248x = 93,328 × 93,328
  4. Step 4: Simplify right side
    65,248x = 8,710,115,584
  5. Step 5: Solve for x
    x = 8,710,115,584/65,248
  6. Step 6: Final answer
    x = 133,492.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.