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Finding the Third Proportional to 77,835 and 119,038.50

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Solution

The third proportional to 77,835 and 119,038.50 is: 182,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,835 : 119,038.50 = 119,038.50 : x
  2. Step 2: Convert to fraction form
    77,835/119,038.50 = 119,038.50/x
  3. Step 3: Cross multiply
    77,835x = 119,038.50 × 119,038.50
  4. Step 4: Simplify right side
    77,835x = 14,170,164,482.25
  5. Step 5: Solve for x
    x = 14,170,164,482.25/77,835
  6. Step 6: Final answer
    x = 182,053.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.