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Finding the Third Proportional to 29,088 and 63,623

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Solution

The third proportional to 29,088 and 63,623 is: 139,160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,088 : 63,623 = 63,623 : x
  2. Step 2: Convert to fraction form
    29,088/63,623 = 63,623/x
  3. Step 3: Cross multiply
    29,088x = 63,623 × 63,623
  4. Step 4: Simplify right side
    29,088x = 4,047,886,129
  5. Step 5: Solve for x
    x = 4,047,886,129/29,088
  6. Step 6: Final answer
    x = 139,160.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.