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Finding the Third Proportional to 77,889 and 116,702.63

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Solution

The third proportional to 77,889 and 116,702.63 is: 174,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,889 : 116,702.63 = 116,702.63 : x
  2. Step 2: Convert to fraction form
    77,889/116,702.63 = 116,702.63/x
  3. Step 3: Cross multiply
    77,889x = 116,702.63 × 116,702.63
  4. Step 4: Simplify right side
    77,889x = 13,619,502,681.89
  5. Step 5: Solve for x
    x = 13,619,502,681.89/77,889
  6. Step 6: Final answer
    x = 174,857.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.