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Finding the Third Proportional to 97,248 and 153,792

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Solution

The third proportional to 97,248 and 153,792 is: 243,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,248 : 153,792 = 153,792 : x
  2. Step 2: Convert to fraction form
    97,248/153,792 = 153,792/x
  3. Step 3: Cross multiply
    97,248x = 153,792 × 153,792
  4. Step 4: Simplify right side
    97,248x = 23,651,979,264
  5. Step 5: Solve for x
    x = 23,651,979,264/97,248
  6. Step 6: Final answer
    x = 243,213.01

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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.