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Finding the Third Proportional to 63,804 and 130,792

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Solution

The third proportional to 63,804 and 130,792 is: 268,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,804 : 130,792 = 130,792 : x
  2. Step 2: Convert to fraction form
    63,804/130,792 = 130,792/x
  3. Step 3: Cross multiply
    63,804x = 130,792 × 130,792
  4. Step 4: Simplify right side
    63,804x = 17,106,547,264
  5. Step 5: Solve for x
    x = 17,106,547,264/63,804
  6. Step 6: Final answer
    x = 268,110.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.