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Finding the Third Proportional to 52,700.63 and 117,088.88

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Solution

The third proportional to 52,700.63 and 117,088.88 is: 260,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,700.63 : 117,088.88 = 117,088.88 : x
  2. Step 2: Convert to fraction form
    52,700.63/117,088.88 = 117,088.88/x
  3. Step 3: Cross multiply
    52,700.63x = 117,088.88 × 117,088.88
  4. Step 4: Simplify right side
    52,700.63x = 13,709,804,648.77
  5. Step 5: Solve for x
    x = 13,709,804,648.77/52,700.63
  6. Step 6: Final answer
    x = 260,145.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.