Finding the Third Proportional to 83,676.50 and 117,037.75
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Solution
The third proportional to 83,676.50 and 117,037.75 is: 163,699.90
Step by Step Solution
- Step 1: Write the proportion equation
83,676.50 : 117,037.75 = 117,037.75 : x - Step 2: Convert to fraction form
83,676.50/117,037.75 = 117,037.75/x - Step 3: Cross multiply
83,676.50x = 117,037.75 × 117,037.75 - Step 4: Simplify right side
83,676.50x = 13,697,834,925.06 - Step 5: Solve for x
x = 13,697,834,925.06/83,676.50 - Step 6: Final answer
x = 163,699.90
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.