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Finding the Third Proportional to 77,135.63 and 116,525.81

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Solution

The third proportional to 77,135.63 and 116,525.81 is: 176,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,135.63 : 116,525.81 = 116,525.81 : x
  2. Step 2: Convert to fraction form
    77,135.63/116,525.81 = 116,525.81/x
  3. Step 3: Cross multiply
    77,135.63x = 116,525.81 × 116,525.81
  4. Step 4: Simplify right side
    77,135.63x = 13,578,264,978.79
  5. Step 5: Solve for x
    x = 13,578,264,978.79/77,135.63
  6. Step 6: Final answer
    x = 176,031.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.